The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A large company boasts in their promotional literature that 75% of their employees have college degrees.
A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.
If a hypothesis test were to be performed to test the company’s claim.
Then the hypotheses represent the appropriate pair of hypotheses will be
H₀: p = 0.75
Hₐ: p ≠ 0.75
Thus, the correct option is C.
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What is this a picture of
Answer:
inscribed angle
Step-by-step explanation:
That is an inscribed angle in a circle ....
Answer:
inscribed angle
Step-by-step explanation:
The vertex (point, corner) of the angle is ON the circle, this is an inscribed angle.
Does anyone know how to do this Venn diagram question?
Answer:
[tex]\frac{8}{30}[/tex]
Step-by-step explanation:
Card(AUBUC)= Card(A)+card(B)+card(C)-Card (A∩B) -Card( A∩C)-Card(B∩C) +Card(A∩B∩C)
= 21 + 14 + 15 - 10 - 8 - 4 + 2
= 30
Then
Card(AUBUC) = 30
Card( A∩C) = 2 + 6 = 8
[tex]p\left( A\cap C\right) =\frac{card\left( A\cap C \right) }{card\left( A\cup B\cup C \right) }[/tex]
[tex]=\frac{8}{30}[/tex]
Need help on this one please
help me please i need help
Answer:
B. 11
Step-by-step explanation:
Hope this helps! ;-)
Answer:
11
Step-by-step explanation:
15-12/3
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
15-4 = 11
Use the net to find the surface area of the regular pyramid.
A net includes four equilateral triangles. One triangle is shaded and it is a base. Each unshaded triangle shares a side with the shaded triangle. The shaded triangle has a side edge of 10 millimeters and area of base is 43.3 squared millimeters. The height of each unshaded triangle is 9 millimeters.
mm2
Answer: The surface area is 173.2 mm²
Step-by-step explanation: If the four triangles are equilateral and one of the sides is 10 then all the other sides must be 10 as well, meaning that the surface area of each triangle is 43.3 mm². That means that to find the surface area of the whole pyramid you must multiply 43.3 by 4 because there are 4 separate triangles.
43.3 × 4 = 173.2
WILL GIVE BRAINLIEST 25 POINTS
Congruent?
If so, what property?
Answer:
Yes, by ASA congruence.
Step-by-step explanation:
Solving :
∠DAB = ∠BCD (indicated in diagram)∠ADB = ∠DBC (indicated in diagram)BD = BD (common side)ΔABD ≅ ΔCDBHence, as 2 angles and a side of the triangles are equal, we can say they are congruent by ASA congruence.
[tex]\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's check if the two triangles are } [/tex][tex] \textbf{congruent} [/tex] ~
[tex] \large\textsf{Given information } [/tex]:
[tex] \textsf{Two angles of a triangle is equal to corresponding} [/tex] [tex] \textsf{two angles of another triangle, and they} [/tex][tex] \textsf{have one side in common (should be equal} [/tex][tex] \textsf{for both) } [/tex]
[tex] \textsf{So, after analyzing this information, we can } [/tex][tex] \textsf{conclude that the two triangles are congruent by} [/tex][tex] \textsf{AAS congruency criteria.} [/tex]
[tex] \texttt{[ since two angles are equal and one} [/tex][tex] \texttt{non included side is common/equal ]} [/tex]
A study of the impact of caffeine consumption on reaction time used 24 subjects and divided them into 12 pairs based on the average hours of sleep they got. One randomly assigned member of each pair drank two cups of caffeinated coffee, and the other drank two cups of decaf. Each subject's performance on a standard reaction time test was recorded. The difference for each pair is calculated (caffeinated - decaf). A 95% confidence interval for the mean difference in reaction times is (-1.2, 0.75).
What is a valid conclusion they can make?
a. Because the confidence interval includes more negative numbers than positive, we have convincing evidence that caffeine decreases reaction time.
b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.
c. Because the center of the interval is -0.225, we have convincing evidence that decreases reaction time.
d. Because the confidence interval includes 0, we have convincing evidence that the true mean difference is 0.
Using the confidence interval, it is found that the correct option regarding the valid conclusion they can make is given by:
b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not a difference in reaction times, that is:
[tex]H_c - H_d = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_c - H_d \neq 0[/tex]
The interval contains 0, hence there is not enough evidence to reject the null hypothesis, which means that option B is correct.
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In which quadrants is tangent positive?
A. II and IV
OB. I and III
OC. I and II
OD. I and IV
The quadrants in which the tangent is positive are I and III.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Tangent is defined as the ratio of the opposite side to the adjacent side of a right triangle.
It is positive when the opposite side and the adjacent side are both positive or both negative.
In the first quadrant (I), both the opposite and adjacent sides are positive, so the tangent is positive.
In the second quadrant (II), the opposite side is positive and the adjacent side is negative, so the tangent is negative.
In the third quadrant (III), both the opposite and adjacent sides are negative, so the tangent is positive.
In the fourth quadrant (IV), the opposite side is negative and the adjacent side is positive, so the tangent is negative.
Therefore,
The quadrants in which the tangent is positive are I and III.
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Round 2.486.3 to The hundred this place.
Simplify 4 – 8 × 2. Question 9 options: A) –4 B) –8 C) –10 D) –12
Answer:
b
Step-by-step explanation:
4 - 8 = -4 times 2 = -8
Find the surface area and volume of the figure below. Round your answers to the nearest tenth. (50 pts)
Answer:
Surface Area = 188.4 square yardsVolume = 216 cubic yardsStep-by-step explanation:
Finding the hypotenuse of the triangular side :
Applying Pythagorean theorem√6² + 6²√2 x 6²6√2Finding Surface Area :
Area (2 triangles) + Area (2 smaller rectangles) + Area (larger rectangle)2 x 1/2 x 6 x 6 + 2 x 12 x 6 + 12 x 6√236 + 144 + 6√2180 + 6√26 (30 + √2)6 (30 + 1.4)6 (31.4)188.4 square yardsFinding Volume :
1/2LWH1/2 x 12 x 6 x 66³216 cubic yards(HARD) Parallelogram MNOP is shown
Prove that MP and NO bisect each other. Drag the correct reason into each correct blank to complete the proof.
A diagram of parallelogram MNOP is attached below
We have side MN, || side OP, and side MP || NO
Using the rule of angles in parallel lines, ∠M and ∠P are supplementary as well as ∠M and ∠N.
Since ∠M+∠P = 180° and ∠M+∠N=180°, we can conclude that ∠P and ∠N are of equal size.
∠N and ∠O are supplementary by the rules of angles in parallel lines
∠O and ∠P are supplementary by the rules of angles in parallel lines
∠N+∠O=180° and ∠O+∠P=180°
∠N and ∠P are of equal size
we deduce further that ∠M and ∠O are of equal size
Hence, the correct statement to complete the proof is
∠M ≅ ∠O; ∠N ≅ ∠P
Which statement about the graphs is true?
O Graph A is a valid density curve because the part of
the graph from 2 to 6 is below the horizontal axis.
O Graph A is not a valid density curve because the
part of the graph from 1 to 2 is above the horizontal
axis.
O Graph B is not a valid density curve because part of
the horizontal axis has negative values.
O Graph B is a valid density curve because the curve
is above the horizontal axis, and the area under the
curve is 1.
The statement about the graphs is true is: Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
Statement about the graph that is trueGraph curve is above the horizontal axis.
Let determine the area under the curve using this formula
Base of left and right triangle
Left
Base = -3 - (-5)
Base= 2
Right
Base= 3 - (-3)
Base= 6
Right and left height
Height= 0.25
Hence:
Total area=(base× height)/2
Total area=[ (2×0.25)/2] + (6×0.25)/2
Total area=0.25+0.75
Total area=1
Therefore Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.
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Select the correct vocabulary word from each drop-down menu to correctly complete the sentences.
A(n)
Choose...
is a chore, but it is not a game.
A(n)
Choose...
is a bond, but it is not a separation.
An ERRAND is a chore, but it is not a game and A CONNECTION is a bond, but it is not a separation.
What is Errand?An ERRAND is a chore, but it is not a game.
The correct vocabulary word from each drop-down menu that correctly complete the first sentences is errand.
What is Connection?A CONNECTION is a bond, but it is not a separation
The correct vocabulary word from each drop-down menu that correctly complete the second sentences is connection.
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NO LINKS!! Please help me with this graph. Part 2
[tex]\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (6, -7)
Take two points: (6, -7), (9, -5)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}[/tex]
Join them to build the equation: [tex]\bf{y = \dfrac{2}{3} |x - 6| - 7}[/tex]
Answer:
[tex]g(x)=\dfrac{2}{3}|x-6|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
[tex]f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}[/tex]
From inspection of the graph, the vertex of the transformed function is at (6, -7). Therefore, there has been a translation of:
6 units right7 units down[tex]\textsf{6 units right}\implies f(x-6) =|x-6|[/tex]
[tex]\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies a\:f(x-6)-7=a|x-6|-7[/tex]
The line goes through point (0, -3)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies a|0-6|-7=-3[/tex]
[tex]\implies 6a=4[/tex]
[tex]\implies a=\dfrac{2}{3}[/tex]
Therefore,
[tex]\implies g(x)=\dfrac{2}{3}|x-6|-7[/tex]
Solve for x. Round to the nearest tenth.
Answer:
x = 27.19
Step-by-step explanation:
Sin(54) =22/x
0.81=22/x
x0.81= 22
x = 27.19
Find the fourth derivative of f(x)=3^x+ln(x)-108x. f(4)(x)=
[tex]f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\[/tex]
[tex]\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0[/tex]
meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.
The probability that it will not rain on both Saturday and Sunday will be 0.2268.
How to calculate probability?From the information, meteorologist predicts that there is a 42% chance of rain on Saturday and a 54% chance of rain on Sunday.
The probability that it will not rain on both Saturday and Sunday will be:
= (1 - 42%) × (1 - 54%)
= 0.58 × 0.46
= 0.2268
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Determine the equation of the line passing through the points (-1, 1) and (1, 7).
Write the line in standard form Ax+By=C
Answer:
[tex]3x + y = -4[/tex]
Step-by-step explanation:
We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.
[tex]( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2} [/tex]
Slope is equal to 3.
Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.
note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.
[tex] \\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c [/tex]
[tex] - 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4[/tex]
A carpenter is building a rectangular table. He wants the perimeter of the tabletop to be no more than 28 feet. He also wants the length of the tabletop to be greater than or equal to the square of 2 feet less than its width.
Create a system of inequalities to model the situation, where x represents the width of the tabletop and y represents the length of the tabletop. Then, use this system of inequalities to determine the viable solutions.
A. Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.
B. No part of the solution region is viable because the length and width cannot be negative.
C. The entire solution region is viable.
D. Part of the solution region includes a negative length; therefore, not all solutions are viable for the given situation.
The solution from the system of inequalities is (a). Part of the solution region includes a negative width; therefore, not all solutions are viable for the given situation.
The system of inequalityLet P represent the perimeter.
So, we have:
P ≤ 28 ---- i.e. perimeter not more than 28y ≥ (x - 2)²The perimeter is calculated using:
P = 2(x + y)
So, we have:
2(x + y) ≤ 28
y ≥ (x - 2)²
Next, we plot the system of inequalities (see attachment)
From the attached graph, we have some negative x values in the shaded region.
This means that not all solutions are viable
Hence, the true statement is (a)
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b) In one year, Clara and Dave borrowed books from a library in the ratio 3:7. Dave borrowed 35 books. Work out the number of books borrowed by Clara.
3:7 =
3/7
3/7 = x/35
7x = 105
x = 15
answer : clara borrowed 15 books
I think it would be 15, because 3 doesn't go in evenly into 35. You might have the order of the ratio messed up.
If the diameter of a circle is 14 inches, which of the following is the best approximation of the area of the circle?
Answer: 153.93791 inches³
Step-by-step explanation:
Area of a circle = pi * r²
Area of a circle = pi * 7²
Area of a circle = 3.14159 * 49
Area of a circle = 153.93791 inches³
We can't see you answer choices, so select the best answer choice that is closest to 153.93791 in³
Given that circumference of a circle is 44m. Calculate it's area
Answer:
Area=154.062 [tex]m^{2}[/tex]
Step-by-step explanation:
As Circumference of a circle is given by;
[tex]C=2\times \pi\times r[/tex]
As the circumference is 44m so we can calculate the value of r by using the above formula.
[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]
Now to Calculate the Area of a Circle.
As the area of a circle is,
[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]
Select the reason that best supports Statement 8 in the given proof.
A. Addition Property of Equality
B. Division Property of Equality
C. Substitution
D. Subtraction Property of Equality
Given: Ray BV bisects
Statement 8 (x = 10/5 or x = 2) is given by the division property of equality. Then the correct option is B.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Suppose that we're taking about
It means, we divide p into q equal parts.
And each part is of value p/q
Statement 7 is given below.
5x - 10 = 0
Then statement 8 is given by the division property of equality.
5x = 10
x = 10/5
x = 2
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What is the probability of randomly selecting a bird
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Gabriella sets up a website where players can
buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
27 visitors purchased no costume.
75 visitors purchased exactly one costume.
11 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a fraction in simplest form.
Probability that the next person will purchase more than one costume as a fraction in simplest form is; 11/113
How to find probability?
We are given the data for number of people who visited the website and the number of costumes purchased in a single day as;
Number of visitors that purchased no costume = 27 visitors
Number of visitors that purchased exactly one costume = 75
Number of visitors that purchased more than one costume = 11
Total number of visitors = 27 + 75 + 11 = 113
Thus;
Probability that the next person will purchase more than one costume as a fraction in simplest form is;
P(purchase more than one costume) = 11/113
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Meghan’s bank account is charged $9.95 per month for an online newspaper subscription. How could you represent the change in her account balance after three months of charges?
·⎯.=
After three months, the change in her account balance is $.
A number line from negative 30 to 0, split into 3 equal sections of negative 9.95.
Convince Me!
Meghan’s bank account is charged 3 times. Without calculating, how can you determine whether this would be a negative or positive change to her account? Explain.
The expression for the amount of Meghan's newspaper for three months will be T = C - (9.95 x 3).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.
The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months.
T = C - (9.95 * 3)
The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.
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What’s the definition of decreasing function?
Answer:a function whose value decreases as the independent variable increases over a given range.
Step-by-step explanation:
if your 14 and you have a kid at 21 how old will your kid be when your 30
Answer:
Your kid will be 9 years old.
Step-by-step explanation:
It's not relevant, that you are 14 now.
Answer: 9
Step-by-step explanation: Regardless of if you are 14 or not, 30-21=9
PLEASE HELP!!! IMA DESPRATE!!!!!Use first and second differences to find the next three terms in the following sequence.
8, 11, 19, 35, 62,...
The next term of the given sequence using first and second differences is; 104
How to find the terms of a Sequence?We are given the sequence as;
8, 11, 19, 35, 62,.....
Thus, using the first and second differences, we have the sequence pattern as;
8 11 19 35 62 104
3 8 16 27 42
5 8 11 15
3 3 4
From the above pattern, we can see that the next term of the sequence is 104
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